Question
The proportion of TikTok users ages
is estimated to be
. In a randomly selected sample of 147 TikTok users, find
the probability that you observe
or less users aged
.
You may use the Normal Distribution tool. Mean should not be rounded, standard deviation may be rounded to four decimal
places.
Round proportions to four decimal places or percentages to two decimal places. If entering a
percentage, include the % symbol.
the probability that you observe
You may use the Normal Distribution tool. Mean should not be rounded, standard deviation may be rounded to four decimal
places.
Round proportions to four decimal places or percentages to two decimal places. If entering a
percentage, include the % symbol.
Ask by Pena Murphy. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability that 20% or fewer of the 147 TikTok users are aged 40-49 is approximately 47.21%.
Solution

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Bonus Knowledge
To find the probability that you observe
or less users aged
in a sample of
TikTok users, we’ll use the normal approximation to the binomial distribution. First, we need to determine the mean and standard deviation for the binomial distribution.
-
Calculate the Mean (
): -
Calculate the Standard Deviation (
): -
Convert the proportion of users (20%) to the number of users:Since we can’t have a fraction of a user, we consider
(which is the closest whole number). -
Standardize (convert to a Z-score):
-
Find the Probability:
Now we will look up the Z-score ofin the standard normal distribution table or use a calculator. The probability corresponding to a Z-score ofis approximately (or ).
Therefore, the probability that you observe
or less users aged
in a randomly selected sample of
TikTok users is approximately 42.66%.